Question

3. What are the central angles of the sectors representing nuclear energy in both the years?( you may round the numbers before finding the central angles)3. What are the central angles of the sectors representing nuclear energy in both the years?( you may round the numbers before finding the central angles)

Answer 1

1995: 22°

2005: 36°

Explanation:

Central angle of the sector representing nuclear energy = percent of nuclear energy represented ÷ 100 × 360°

For 1995:

% represented by nuclear energy = 6.40% ≈ 6%

Central angle of the sector it represents =
`(6)/(100)*360`

`= (6*360)/(100)`

`= (6*36)/(10) = (216)/(10) = 21.6`

Central angle represented by nuclear energy in 1995 = 21.6 ≈ 22° (to nearest whole number)

For 2005:

% represented by nuclear energy = 10.10% ≈ 10%

Central angle of the sector it represents =
`(10)/(100)*360`

`= (10*360)/(100)`

`= (1*36)/(1) = (36)/(1) = 36`

Central angle represented by nuclear energy in 2005 = 36°